
def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__							)					->       List[str]:
       _enforce_args(_lowercase   ,      _lowercase							)
       if n == 0:
              return 0
       lowercase				:	List[Any]			      = float("""-inf"""							)
       for i in range(1   ,      n + 1							):
              lowercase				:	Optional[int]			      = max(
                  _lowercase   ,      prices[i - 1] + naive_cut_rod_recursive(n - i   ,      _lowercase							)							)

       return max_revue







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__							)					->       Tuple:
       _enforce_args(_lowercase   ,      _lowercase							)
       lowercase				:	Optional[Any]			      = [float("""-inf"""							) for _ in range(n + 1							)]
       return _top_down_cut_rod_recursive(_lowercase   ,      _lowercase   ,      _lowercase							)







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__							)					->       List[str]:




       if max_rev[n] >= 0:
              return max_rev[n]
       elif n == 0:
              return 0
       else:
              lowercase				:	Dict			      = float("""-inf"""							)
              for i in range(1   ,      n + 1							):
                     lowercase				:	int			      = max(
                         _lowercase   ,      prices[i - 1] + _top_down_cut_rod_recursive(n - i   ,      _lowercase   ,      _lowercase							)   ,      )

              lowercase				:	Dict			      = max_revenue

       return max_rev[n]







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__							)					->       List[Any]:
       _enforce_args(_lowercase   ,      _lowercase							)

       # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
       # length 0.
       lowercase				:	int			      = [float("""-inf"""							) for _ in range(n + 1							)]
       lowercase				:	Union[str, Any]			      = 0

       for i in range(1   ,      n + 1							):
              lowercase				:	Optional[Any]			      = max_rev[i]
              for j in range(1   ,      i + 1							):
                     lowercase				:	Tuple			      = max(_lowercase   ,      prices[j - 1] + max_rev[i - j]							)

              lowercase				:	Any			      = max_revenue_i

       return max_rev[n]







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__							)					->       List[Any]:




       if n < 0:
              lowercase				:	List[str]			      = f"n must be greater than or equal to 0. Got n = {n}"
              raise ValueError(_lowercase							)

       if n > len(_lowercase							):
              lowercase				:	Optional[Any]			      = (
                  """Each integral piece of rod must have a corresponding price. """
                  f"Got n = {n} but length of prices = {len(_lowercase							)}"
              )
              raise ValueError(_lowercase							)







def 		_snake_case(    )					->       int:
       lowercase				:	str			      = [6, 10, 12, 15, 20, 23]
       lowercase				:	Optional[int]			      = len(_lowercase							)

       # the best revenue comes from cutting the rod into 6 pieces, each
       # of length 1 resulting in a revenue of 6 * 6 = 36.
       lowercase				:	Union[str, Any]			      = 36

       lowercase				:	Optional[int]			      = top_down_cut_rod(_lowercase   ,      _lowercase							)
       lowercase				:	Union[str, Any]			      = bottom_up_cut_rod(_lowercase   ,      _lowercase							)
       lowercase				:	Tuple			      = naive_cut_rod_recursive(_lowercase   ,      _lowercase							)

       assert expected_max_revenue == max_rev_top_down
       assert max_rev_top_down == max_rev_bottom_up
       assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
  main()




"""simple docstring"""



from typing import Optional

import pyspark

from .. import Features, NamedSplit
from ..download import DownloadMode
from ..packaged_modules.spark.spark import Spark
from .abc import AbstractDatasetReader







class    __a						( __snake_case							):







				def __init__( self      ,	UpperCAmelCase      ,	UpperCAmelCase = None      ,	UpperCAmelCase = None      ,	UpperCAmelCase = True      ,	UpperCAmelCase = None      ,	UpperCAmelCase = False      ,	UpperCAmelCase = None      ,	UpperCAmelCase = True      ,	UpperCAmelCase = "arrow"      ,	**UpperCAmelCase      ,	):

					'''simple docstring'''






					super().__init__(
					    split=UpperCAmelCase      ,	features=UpperCAmelCase      ,	cache_dir=UpperCAmelCase      ,	keep_in_memory=UpperCAmelCase      ,	streaming=UpperCAmelCase      ,	**UpperCAmelCase      ,	)
					lowerCAmelCase_      							=			load_from_cache_file
					lowerCAmelCase_      							=			file_format
					lowerCAmelCase_      							=			Spark(
					    df=UpperCAmelCase      ,	features=UpperCAmelCase      ,	cache_dir=UpperCAmelCase      ,	working_dir=UpperCAmelCase      ,	**UpperCAmelCase      ,	)







				def      lowerCamelCase_     ( self   ):

					'''simple docstring'''






					if self.streaming:
						return self.builder.as_streaming_dataset(split=self.split   )
					lowerCAmelCase_      							=			None if self._load_from_cache_file else DownloadMode.FORCE_REDOWNLOAD
					self.builder.download_and_prepare(
					    download_mode=UpperCAmelCase      ,	file_format=self._file_format      ,	)
					return self.builder.as_dataset(split=self.split   )